102年 - 102 國立嘉義大學_碩士班(乙組)招生考試試題_生物機電工程學系：自動控制#146371

科目：研究所、轉學考(插大)◆自動控制 | 年份：102年 | 選擇題數：0 | 申論題數：10

試卷資訊

所屬科目：研究所、轉學考(插大)◆自動控制

選擇題 (0)

申論題 (10)

1. Given an RLC network system shown in Fig. 1:
(a) Find the transfer function . (10%)

(b) Solve the initial value problem if H, , F, and V with zero initial conditions. (15%)

Fig. 1

2. Given the transfer function shown in Fig. 2:
(a) Find the state space equations. (10%)

(b) Draw the associated signal flow graph (SFG). (15%)

Fig. 2

3. Represent the translational mechanical system shown in Fig. 3 in state space, where x1(t) is the output. (25%)

Fig. 3

4. Consider the system in Fig. 4(a), where the Nichols chart of G(s) is given in Fig.4(b)
(a)What is the gain margin of the closed-loop system? (5%)

(b)What is the phase margin of the closed-loop system? (5%)

(c)What is the steady state error when r(t)=3 and disturbance d(t)=6 for all t>0? (5%)

(d)Where does the resonant peak of the closed-loop transfer function occur (answer in terms of frequency rad/sec). (5%)

(e) What are the maximum amplitude Mpw and the resonance frequency r? (5%)